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113140000000 = 28575657
BaseRepresentation
bin110100101011110101…
…0110110010100000000
3101211000220212111121101
41221113222312110000
53323202320000000
6123550434504144
711113500063256
oct1512752662400
9354026774541
10113140000000
1143a89642635
1219b16435054
13a890bbb781
1456942305d6
152e22ae2e6a
hex1a57ab6500

113140000000 has 144 divisors (see below), whose sum is σ = 282346738128. Its totient is φ = 45248000000.

The previous prime is 113139999977. The next prime is 113140000007. The reversal of 113140000000 is 41311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 62956831744 + 50183168256 = 250912^2 + 224016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113140000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19997172 + ... + 20002828.

It is an arithmetic number, because the mean of its divisors is an integer number (1960741237).

Almost surely, 2113140000000 is an apocalyptic number.

113140000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113140000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141173369064).

113140000000 is an abundant number, since it is smaller than the sum of its proper divisors (169206738128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113140000000 is an frugal number, since it uses more digits than its factorization.

113140000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 113140000000 its reverse (41311), we get a palindrome (113140041311).

The spelling of 113140000000 in words is "one hundred thirteen billion, one hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 5657 6250 6400 8000 10000 11314 12500 15625 16000 20000 22628 25000 28285 31250 32000 40000 45256 50000 56570 62500 78125 80000 90512 100000 113140 125000 141425 156250 160000 181024 200000 226280 250000 282850 312500 362048 400000 452560 500000 565700 625000 707125 724096 800000 905120 1000000 1131400 1250000 1414250 1448192 1810240 2000000 2262800 2500000 2828500 3535625 3620480 4000000 4525600 5000000 5657000 7071250 7240960 9051200 10000000 11314000 14142500 17678125 18102400 20000000 22628000 28285000 35356250 36204800 45256000 56570000 70712500 88390625 90512000 113140000 141425000 176781250 181024000 226280000 282850000 353562500 441953125 452560000 565700000 707125000 883906250 905120000 1131400000 1414250000 1767812500 2262800000 2828500000 3535625000 4525600000 5657000000 7071250000 11314000000 14142500000 22628000000 28285000000 56570000000 113140000000